10106156000 has 96 divisors (see below), whose sum is σ = 24918461568. Its totient is φ = 4028198400.

The previous prime is 10106155963. The next prime is 10106156003. The reversal of 10106156000 is 65160101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106156003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167689 + ... + 1176311.

It is an arithmetic number, because the mean of its divisors is an integer number (259567308).

Almost surely, 2^10106156000 is an apocalyptic number.

10106156000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106156000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12459230784).

10106156000 is an abundant number, since it is smaller than the sum of its proper divisors (14812305568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10106156000 is an equidigital number, since it uses as much as digits as its factorization.

10106156000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8941 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 10106156000 in words is "ten billion, one hundred six million, one hundred fifty-six thousand".